The number 73997
73997 is a composite number with 12 divisors. Its prime factorisation is 7 × 11 × . Divisors (12): 1, 7, 11, 31, 77, 217, 341, 961, 2387, 6727, 10571, 73997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73997 is composite. Its prime factorisation is
- 3
The divisors add up to 95328; without 73997 itself that is 21331, so 73997 is deficient (21331 is less than 73997). Euler's totient φ(73997) = 55800 numbers up to 73997 share no factor with it.
- 4
The digits of 73997 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73997 = 7 \times 11 \times 31^{2} \]73997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95328 |
| Euler totient φ(n) | 55800 |
| Square | 5475556009 |
| Cube | 405174717997973 |
| Square root | 272.023896 (= 31√77) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3997 × |
73997 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and ninety-seven |
| Binary (base 2) | 10010000100001101 |
| Octal (base 8) | 220415 |
| Hexadecimal (base 16) | 1210D |
| Base 3 | 10202111122 |
| As time | 73997 seconds = 20 h 33 min 17 s |
Is 73997 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73997 ÷ 7 = 10571) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73997 ÷ 11 = 6727) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73997 a prime number?
No. 73997 = 7 × 11 × , so it is divisible by 7.
What are the factors of 73997?
1, 7, 11, 31, 77, 217, 341, 961, 2387, 6727, 10571, 73997.
What is 73997 in binary?
10010000100001101 (hexadecimal 1210D, octal 220415).
What is the square root of 73997?
About 272.0239, exactly 31√77.
Is 73997 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 73997?
It is a composite number with 12 divisors.